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3 years ago

Identify the graph that correctly represents the inequality |x + 1| + 2 > 5.

Mathematics

2 answers:

svetlana [45]3 years ago

9 0

Answer: D. The last graph

Step-by-step explanation:

NeTakaya3 years ago

8 0

$|x+1|\ \textgreater \ 3$

The greater than 3 means that the graph will have a shaded region for when the absolute value of (x+1) is greater than 3.

The absolute value means that we are interested in the magnitude of x+1. That means that the the graph will be shaded where x+1 > 3, and where -x-1 > 3

If we solve both of these for x, we get:

x > 2 and x < -4

So the graph will look like the attached picture. Notice that the vertical lines are dotted rather than solid. This means that we are dealing with a greater than sign, not a greater than or equal to.

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Toby and Marcus both collect stamps. Toby has 10 stamps and collects 4 new stamps every week. Marcus has 60 stamps and collects

zloy xaker [14]

Answer:

25 weeks will Toby and Marcus have the same number of stamps

Explanation:

No of stamps collected by Toby initially= 10

No of stamps Toby collects every week= 4

No of stamps Marcus has initially= 60

No of stamps Marcus collects each week=2

Suppose the no of week when Toby and Marcus have the same number of stamps are x

Hence no of stamps collected by Toby after x weeks

=10+4x

No of stamps collected by Marcus after x weeks

=60+2x

Therefore to calculate the same of stamps collected by Toby and Marcus

No of stamps collected by Toby after x weeks= No of stamps collected by Marcus after x weeks

10+4x =60 +2x

4x-2x= 60-10

2x=50

x=25

Hence after 25 weeks Toby and Marcus will have the same number of stamps

6 0

4 years ago

in a town, 11 000 people out of the total population of 50 000 are aged under 18. What percentage of the population is aged unde

Katen [24]

Answer:

22%

Step-by-step explanation:

1- 11000/50000 = 0.22

2- 0.22 x 100 = 22%

.. ..

8 0

3 years ago

Add 3 5/12+2 5/9. Simplify the answer and write as a mixed number.

grigory [225]

Answer:

5 35/36

Step-by-step explanation:

add the whole number: 3+2= 5

add the fractions: 5/12 = 5/9= 35/36

add the whole number and fraction

5 35/36 so x= 5 35/36

6 0

3 years ago

Y=x+12 4x+2y=27 Solve each system of equation algebraically

Maslowich

Solve by Substitution :

// Solve equation [1] for the variable y

[1] y = x + 12

// Plug this in for variable y in equation [2]

[2] 2•(x +12) + 4x = 27 [2] 6x = 3

// Solve equation [2] for the variable x

[2] 6x = 3 [2] x = 1/2

// By now we know this much :

y = x+12 x = 1/2

// Use the x value to solve for y

y = (1/2)+12 = 25/2 Solution : {y,x} = {25/2,1/2} y=x+12;4x+2y=27 Solution : {y,x} = {25/2,1/2} System of Linear Equations entered : [1] y=x+12 [2] 4x+2y=27 Equations Simplified or Rearranged : [1] y - x = 12 [2] 2y + 4x = 27

7 0

4 years ago

The number of milligrams of a certain medicine a veterinarian gives to a dog varies directly with the weight of the dog if the v

sesenic [268]

Answer:

d= 1.50 mg/w

Step-by-step explanation:

30 pounds -> 3/5 mg

1 pound -> x

x= (1 pound * 3/5 mg)/30 pound

x= 1/50 mg/pound

6 0

4 years ago